The persistence of biodiversity of species is a challenging proposition in
ecological communities in the face of Darwinian selection. The present article
investigates beyond the pairwise competitive interactions and provides a novel
perspective for understanding the influence of higher-order interactions on the
evolution of social phenotypes. Our simple model yields a prosperous outlook to
demonstrate the impact of perturbations on intransitive competitive
higher-order interactions. Using a mathematical technique, we show how alone
the perturbed interaction network can quickly determine the coexistence
equilibrium of competing species instead of solving a large system of ordinary
differential equations. It is possible to split the system into multiple
feasible cluster states depending on the number of perturbations. Our analysis
also reveals the ratio between the unperturbed and perturbed species is
inversely proportional to the amount of employed perturbation. Our results
suggest that nonlinear dynamical systems and interaction topologies can be
interplayed to comprehend species' coexistence under adverse conditions.
Particularly our findings signify that less competition between two species
increases their abundance and outperforms others.Comment: 17 pages, 10 figure